After successfully completing the CAT 2016 sprint series, we are back with the SNAP 2016 sprint preparation series – Quant 10 to boost your prep. This series consisted of 10 sets of questions from past year SNAP papers, leading to SNAP 2016 and covered almost all the question types that you needed to know come the 18th of December.

# SNAP 2016 sprint preparation series – Quant 10

1. The sum of a number and its reciprocal is thrice the difference of the number and its reciprocal. The number is:

a. ±√2

b. ± 1 / √2

c. ± 1 / √3

d. √3

2. The total number of Natural numbers that lie between 10 and 300 and are divisible by 9 is

a. 32

b. 30

c. 33

d. 34

3. If nCx = 56 and nPx = 336, find n and x.

a. 7, 3

b. 8, 4

c. 8, 3

d. 9, 6

4. One side of an equilateral triangle is 24 cm. The midpoints of its sides are joined to form another triangle whose midpoints are in turn joined to form still another triangle. This process continues indefinitely. Find the sum of the perimeters of all the triangle

a. 144 cm

b. 72 cm

c. 536 cm

d. 676 cm

5. The probability that a leap year selected at random contains either 53 Sundays or 53 Mondays, is:

a. 17/53

b. 1/53

c. 3/7

d. None of these

6. Find the intercepts made by the line 3x + 4y – 12 = 0 on the axes:

a. 2 and 3

b. 4 and 3

c. 3 and 5

d. None of these

7. The average of 4 distinct prime numbers a, b, c, d is 35, where a < b < c < d. a and d are equidistant from 36 and b and c are equidistant from 34 and a, b are equidistant from 30 and c and d are equidistant from 40. The difference between a and d is:

a. 30

b. 14

c. 21

d. Cannot be determined

8. Ramsukh bhai sells rasgulla at Rs. 15 per kg. A rasgulla is made up of flour and sugar in the ratio 5:3.The ratio of price of sugar and flour is 7:3 (per kg). Thus he earns 66.67% profit. What is the cost price of sugar?

a. Rs. 10/kg

b. Rs. 9/kg

c. Rs. 18/kg

d. Rs. 14/kg

9. A reduction of 20% in the price of sugar enables a person to purchase 6 kg more for Rs. 240. What is the original price per kg of sugar?

a. Rs. 10/kg

b. Rs. 8/kg

c. Rs. 6/kg

d. Rs. 5/kg

10. A solid sphere is melted and recast into a right circular cone with a base radius equal to the radius of the sphere. What is the ratio of the height and radius of the cone so formed?

a. 4 : 3

b. 2 : 3

c. 3 : 4

d. None of these

11. The speed of scooter, car and train are in the ratio of 1 : 4 : 16. If all of them cover equal distance then the ratio of time taken/velocity for each of the vehicle is:

a. 256 : 16 : 1

b. 1 : 4 : 16

c. 16 : 4 : 1

d. 16 : 1 : 4

12. B is twice efficient as A and A can do a piece of work in 15 days. A started the work and after a few days B joined him. They completed the work in 11 days, from the starting. For how many days did they work together?

a. 1 day

b. 2 days

c. 6 days

d. 5 days

13. A, B, C and D purchased a restaurant for Rs. 56 lakhs. The contribution of B, C and D together is 460% that of A alone. The contribution of A, C and D together is 366.66% that of B’s contribution and the contribution of C is 40% that of A, B and D together. The amount contributed by D is:

a. 10 lakhs

b. 12 lakhs

c. 16 lakhs

d. 18 lakhs

14. The salary of Raju and Ram is 20% and 30% less than the salary of Saroj respectively. By what percent is the salary of Raju more than the salary of Ram?

a. 33.33%

b. 50%

c. 15.18%

d. 14.28%

15. The radius of a wire is decreased to one – third and its volume remains the same. The new length is how many times the original length?

a. 2 times

b. 4 times

c. 5 times

d. 9 times

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Solutions:

1. x + 1/x = 3(x – 1/x)

x^2 + 1 = 3x^2 – 3

2x^2 = 4

x = +/- √2

Option a.

2. The numbers vary from 9*2 till 9*33 and so, 32 cases. Option a.

3. nCx*x! = nPx. So, 56*x! = 336 or x = 3. So, nC3 = 56 or n = 8. Option c.

4. Side of the first triangle is 24, side of the second triangle is 12 and so on. So, 24/(1 – ½) = 48 cm will be the sum of the sides. So, sum of the perimeters will be 48*3 = 144 cm. Option a.

5. A leap year consists of 52 weeks and 2 days. If the year starts on a Sunday, it will have 53 Sundays and 53 Mondays. If it starts on a Monday, the year will have 53 Mondays. If it starts on Saturday, it will have 53 Sundays. So, 3/7 is the probability. Option c.

6. If x = 0, y = 3 and if y = 0, x = 4. So, option b.

7. Sum of the four prime numbers is 140. The only set that satisfies the given information is 29, 31, 37 and 43. So, the difference is 14. Option b.

8. Selling price is Rs. 15 per 1000 grams. To make 1000 grams of rasgulla, we need 375 grams sugar and 625 grams flour. Cost of 625 grams flour and 325 grams sugar is Rs. 9. If the cost of flour is 3x, the cost of sugar will be 7x per gram. So, 375*7x + 625*3x = 9

4500x = 9. So, x = 9/4500. Or, 7x*1000 = 14 Rs/kg. Option d.

9. Let the original price be x Rs/kg and the original amount bought be y kg. So, total amount spent is Rs. xy = 240. 0.8x * (y + 6) = 240

x = 10, y = 24. Option a.

10. 4/3*pi*r^3 = 1/3*pi*r^2*h

h = 4r. Option d.

11. Let the distance covered be 16x and the speed of scooter, car and train be x, 4x and 16x respectively. So, time taken to cover this distance will be in the ratio 16, 4 and 1 respectively. Time taken to velocity ratios will be 16/x:4/4x:1/16x and so, 256:16:1. Option a.

12. Let A do 1 unit per day. So, B does 2 units per day and total work is 15 units. A worked for 11 days and so, the remaining 4 units have been done by B. So, B has worked for 2 days. Option b.

13. A + B + C + D = 56 … (1)

B + C + D = 4.6A … (2)

A + C + D = 11B/3 … (3)

A + B + D = 2.5C … (4)

Using 1 and 2, we get A = 10, using 1 and 4, we get C = 16, using 1 and 3, we get B = 12. So, D = 18. Option d.

14. Let Saroj get Rs. 100. So, Raju gets Rs. 80 and Ram gets Rs. 70. So, Raju’s salary is greater than that of Ram by 1/7 or 14.28%. Option d.

15. pi*r^2^l = pi*r^2/9*l’. So, option d.

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You can follow the entire sprint series here: SNAP 2016 Sprint Preparation Series by Learningroots

Also, you can check out all the articles under the series by going to this page: SNAP 2016 Sprint Preparation Series Timetable